|Title||Computing several eigenpairs of Hermitian problems by conjugate gradient iterations|
The paper is concerned with algorithms for computing several extreme eigenpairs of Hermitian problems based on the conjugate gradient method. We analyse computational strategies employed by various algorithms of this kind reported in the literature and identify their limitations. Our criticism is illustrated by numerical tests on a set of problems from electronic structure calculations and acoustics.
|Keywords||Conjugate gradient method, Eigenvalue computation|
|Journal||Journal of Computational Physics|
|Journal citation||227 (22), pp. 9477-9497|
|Publisher||Academic Press Professional|
|Digital Object Identifier (DOI)||doi:10.1016/j.jcp.2008.06.038|